0.183=0.975(r-0.12)+r

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Solution for 0.183=0.975(r-0.12)+r equation:


Simplifying
0.183 = 0.975(r + -0.12) + r

Reorder the terms:
0.183 = 0.975(-0.12 + r) + r
0.183 = (-0.12 * 0.975 + r * 0.975) + r
0.183 = (-0.117 + 0.975r) + r

Combine like terms: 0.975r + r = 1.975r
0.183 = -0.117 + 1.975r

Solving
0.183 = -0.117 + 1.975r

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-1.975r' to each side of the equation.
0.183 + -1.975r = -0.117 + 1.975r + -1.975r

Combine like terms: 1.975r + -1.975r = 0.000
0.183 + -1.975r = -0.117 + 0.000
0.183 + -1.975r = -0.117

Add '-0.183' to each side of the equation.
0.183 + -0.183 + -1.975r = -0.117 + -0.183

Combine like terms: 0.183 + -0.183 = 0.000
0.000 + -1.975r = -0.117 + -0.183
-1.975r = -0.117 + -0.183

Combine like terms: -0.117 + -0.183 = -0.3
-1.975r = -0.3

Divide each side by '-1.975'.
r = 0.1518987342

Simplifying
r = 0.1518987342

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